On Donkin's tilting module conjecture. III: New generic lower bounds

DOI10.1016/J.JALGEBRA.2023.07.001MaRDI QIDQ6565646

Cornelius Pillen, Daniel K. Nakano, Paul Sobaje, Christopher P. Bendel

Publication date: 2 July 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

tilting modulescohomologyrepresentations of algebraic groups

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On good \((p,r)\)-filtrations for rational \(G\)-modules.
• Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups
• Extensions of simple modules for finite Chevalley groups
• Cohomology of induced representations for algebraic groups
• Extensions between simple modules for Frobenius kernels
• Injective modules for restricted enveloping algebras
• On tilting modules for algebraic groups
• Extensions of simple modules for special algebraic groups
• Extensions for Frobenius kernels.
• Turning weight multiplicities into Brauer characters
• Counterexamples to the tilting and \((p,r)\)-filtration conjectures
• \(p\)-filtrations of dual Weyl modules
• The Steinberg quotient of a tilting character
• Representations of Algebraic Groups
• Extensions of Modules for Algebraic Groups
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• On (𝑝,𝑟)-filtrations and tilting modules
• ON REPRESENTATIONS OF ALGEBRAIC GROUPS IN CHARACTERISTIC TWO
• On Donkin’s tilting module conjecture I: lowering the prime
• On p -filtrations of Weyl modules
• The adjoint representation of fuzzy Lie algebras
• \(p\)-filtrations and the Steinberg module

Related Items (2)

Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type ⋮ Steinberg quotients, Weyl characters and Kazhdan-Lusztig polynomials

This page was built for publication: On Donkin's tilting module conjecture. III: New generic lower bounds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6565646)